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Mental Maths
                        (b)                                               1.  (a) True  (b) True  (c) False  (d) True  (e) True
                            0  1   2   3   4  5   6   7  8   9  10
                           Thus, 3 + 4 = 7                                2.  (a) a; multiplicative identity  (b) commutative
                                                                            (c) divisor  (d) closure; whole  (e) distributive; 2
                        (c)                                                 (f) zero
                            0  1   2   3   4  5   6   7  8   9  10
                           Thus, 7 + 2 = 9                              Practice Time
                                                                          1.  1,02,998          2. 76,85,950

                      6.  (a)
                            0  1   2   3   4  5   6   7  8   9  10        3.
                           Thus, 8 –5 = 3                                     0  1  2  3   4  5  6  7   8  9  10  11
                                                                            Thus, 2 + 7 = 9

                        (b)                                               4.
                            0  1   2   3   4  5   6   7  8                    0    3    6    9    12   15   18   21
                           Thus, 6 –3 = 3                                   Thus, 3 × 6 = 18
                                                                          5.  25,600     6.  1,73,800     7.  4
                                                                          8.  10,032     9.  (a) 5,050  (b) 840
                        (c)                                               10.  ` 3,100   11.  170 shirts; ` 1,19,000
                            0  1   2   3   4  5   6   7  8
                           Thus, 7 – 7 = 0                              Think Smart
                                                                          1.  2            2.  9
                      7.  (a)
                            0         4         8        12               3.
                           Thus, 4 × 2 = 8                                   0   1   2  3   4   5  6   7   8   9  10
                                                                            Thus, 3 + 6 = 9
                        (b)                                               4.  30; 42
                            0    3    6    9   12   15   18
                           Thus, 3 × 5 = 15                                               Chapter 3
                                                                        Exercise 3.1
                        (c)                                               1.  (a) Expenditure of ` 5,000
                            0      7      14      21     28
                           Thus, 7 × 3 = 21                                 (b) 250 km west of Delhi
                      8.  (a) 378; 387 > 378  (b) 1,001; 1,001 < 1,101      (c) Early by 25 minutes
                        (c) 3,456; 3,456 < 6,543  (d) 36,789; 36,789 < 3,67,899      (d) 200 m below sea level
                                                                            (e) Increase of 10
                    Exercise 2.2                                            (f) 20°C above freezing point
                      1.  (a) 456  (b) 124  (c) 8,769                     2.  (a) +` 26,500   (b) +` 3,000   (c) –` 5,000
                      2.  (a) 1,700  (b) 500  (c) 16,000  (d) 500           (d) +100 m     (e) –3,000 m   (f) –10 m
                      3.  (a) 24,514  (b) 15,246  (c) 4,257  (d) 1,38,414    3.  (a)
                      4.  (a) 3,50,000  (b) 60,000  (c) 45,100  (d) 50,00,000   –3  –2   –1   0   1    2   3    4   5
                      5.  (a) 24,850  (b) 4,27,900  (c) 8,12,600  (d) 16,84,000      (b)
                                                                                –1   0   1    2   3    4   5    6    7
                      6.  13  6750  519
                          – 65                                              (c)    –5  –4  –3  –2  –1  0   1    2   3
                             25
                           –13       Quotient × Divisor + Remainder         (d)
                             120     = 519 × 13 + 3                             –8   –7  –6   –5  –4   –3  –2   –1   0
                           –117      = 6,750 = Dividend
                              3                                           4.  (a) –26 is to the left of –13.
                      7.  (a) 5  (b) 0  (c) Not defined  (d) 5              (b) –9 is to the left of 18.
                      8.  29,970     9. 24     10. 765                      (c) –29 is to the left of –13.
                                                                            (d) –100 is to the left of –67.
                    Exercise 2.3                                          5.  –8, –7 and –6   6.  –13, –14 and –15
                      1.  (a) 11,110; 1,11,110  (b) 4,44,444; 5,55,555    7.  (a) –4 > –5 > –6 > –7 > –8 > –9
                      2.  (a) 781; 3,906  (b) 15; 21
                                                                            (b) –7 > –8 > –9 > –10 > –11 > –12


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